Answer:
x = 12; y = 12
B
Step-by-step explanation:
TRiangles CED and BCA are similar by AA
<CBA = <CDE Marked as equal
<C is common to both triangles.
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y/24 are the two sides opposite <C This ratio is equal to
24/48 These two are opposite the angles marked in orange.
y/24 = 24/48 You could cancel the right side before cross multiplication
y / 24 = 1/2 Cross multiply
2y = 24 Divide by 2
2y/2 = 24/2 Do the division
y = 12
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Now use <CED and <A to get the ratio associated with their sides. These two angles are equal because the other two angles are.
18/(24+x)
Now use the two 2 orange angles
24/ 48 = 18 / (24 + x) and again cancel the left before cross multiplying.
1/2 = 18/(24 + x ) Cross multiply
24 + x = 2*18 Do the multiplication
24 + x + 36 Subtract 24 from both sides.
24-24 + x = 36 - 24 Combine
x = 12